Detection of Carbon-Fiber-Reinforced Polymer Damage Based on L1/L2 Regularization Electrical Impedance Tomography Algorithm

Min Ma; Lang Yu; Wenru Fan

doi:10.3788/LOP212643

Laser & Optoelectronics Progress, Volume. 60, Issue 2, 0212001(2023)

Detection of Carbon-Fiber-Reinforced Polymer Damage Based on L1/L2 Regularization Electrical Impedance Tomography Algorithm

Min Ma^*, Lang Yu, and Wenru Fan

Author Affiliations

College of Electronic Information and Automation, Civil Aviation University of China, Tianjin 300300, China

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Figures & Tables(11)

Fig. 1. Example of orthogonal CFRP laminate structure

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Fig. 2. Simulation image reconstruction results of different damage of CFRP laminates

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Fig. 3. Correlation coefficient histogram of damage reconstruction image

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Fig. 4. Relative error histogram of damage reconstruction image

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Fig. 5. Data acquisition platform based on digital multimeter

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Fig. 6. Embedded electrode and position indication

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Fig. 7. Image reconstruction results of damaged specimens under different algorithms

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Table 1. Unconstrained L1/L2 regularization algorithm
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Table 1. Unconstrained L1/L2 regularization algorithm

Table 2. L1/L2-constraint regularization algorithm
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Table 2. L1/L2-constraint regularization algorithm

Table 3. Correlation coefficients of damaged reconstructed images with different algorithms

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Table 3. Correlation coefficients of damaged reconstructed images with different algorithms

Model	CORR
Model	CGLS	Tikhonov	L₁	L₁/L₂	L₁/L₂-constraint
Model 1	0.4764	0.5276	0.9488	0.9710	0.9688
Model 2	0.4502	0.4248	0.5641	0.7128	0.7422
Model 3	0.4630	0.4389	0.5705	0.6851	0.7108
Model 4	0.4347	0.4389	0.8894	0.8902	0.9400
Model 5	0.2281	0.2289	0.2683	0.2718	0.3953

Table 4. Relative error of damaged reconstructed images with different algorithms

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Table 4. Relative error of damaged reconstructed images with different algorithms

Model	RE
Model	CGLS	Tikhonov	L₁	L₁/L₂	L₁/L₂-constraint
Model 1	0.5853	0.4450	0.1946	0.1953	0.1936
Model 2	0.5806	0.5780	0.4530	0.2508	0.2106
Model 3	0.5315	0.5756	0.5797	0.3007	0.2934
Model 4	0.6467	0.6397	0.2424	0.2017	0.1907
Model 5	0.8137	0.8856	0.7639	0.6823	0.6096

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Min Ma, Lang Yu, Wenru Fan. Detection of Carbon-Fiber-Reinforced Polymer Damage Based on L1/L2 Regularization Electrical Impedance Tomography Algorithm[J]. Laser & Optoelectronics Progress, 2023, 60(2): 0212001

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Paper Information

Category: Instrumentation, Measurement and Metrology

Received: Sep. 30, 2021

Accepted: Nov. 8, 2021

Published Online: Jan. 6, 2023

The Author Email: Min Ma (mm5739@163.com)

DOI:10.3788/LOP212643

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Unconstrained L1/L2 regularization algorithm

Table 1. Unconstrained L1/L2 regularization algorithm

Table 2. L1/L2-constraint regularization algorithm

Table 2. L1/L2-constraint regularization algorithm

Table 3. Correlation coefficients of damaged reconstructed images with different algorithms

Table 3. Correlation coefficients of damaged reconstructed images with different algorithms

Table 4. Relative error of damaged reconstructed images with different algorithms

Table 4. Relative error of damaged reconstructed images with different algorithms